SOLUTION: The mean birth weight for Ethiopian babies is μ =3.1 kg with sd (σ=0.5 kg) A) What weight values encompass the 95% newborns? B) If the cut of point for low birth weight is 2.5

Algebra.Com
Question 1189113: The mean birth weight for Ethiopian babies is μ =3.1 kg with sd (σ=0.5 kg)
A) What weight values encompass the 95% newborns?
B) If the cut of point for low birth weight is 2.5kg, what proportion of the new
borns are lbw?
C) Find the 10th percentile birth weight.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
95% are between +/- 1.96 z or 0.98 kg
so the weight is 3.1 +/- 0.98 or (2.12 kg, 4.08 kg)
-
z(2.5)=(2.5-3.1)/0.5
=-1.2
Probability z < -1.2 is 0.1151
-
z(0.10)=-1.282
-1.282=(x-3.1)/0.5
x=2.46 kg

RELATED QUESTIONS

The mean birth weight for Ethiopian babies is μ =3.1 kg with sd (σ=0.5 kg) A) What... (answered by Theo)
boys and girls birth weight exercise 6.28 mentioned that in the United States, birth... (answered by Boreal)
Figures from the Australian Bureau of Statistics and the Royal Alexandra Hospital for... (answered by lynnlo)
a mean of 210.0 case of low birth weight each year. 1. Find the mean number of low... (answered by robertb)
Use the 68-95-99.7 Rule (Empirical Rule) to answer the following. (Do not use technology. (answered by ikleyn)
A large watermelon weighs 20 kg with 98% of its weight being water. It is left to stand... (answered by stanbon)
in a rice mill the bags of rice has mean weight of 5.05 kg and standard deviation is 0.02 (answered by CPhill)
The Gibbs Baby Food Company wishes to compare the weight gain of infants using their... (answered by stanbon)
The weight of a new-born baby follows a normal distribution with mean 3.44 kg and (answered by stanbon)